Yet another H/sup /spl infin// discretization

A new approach to the conversion of the sampled-data H/sup /spl infin// problem to an equivalent pure discrete-time, lumped-variables counterpart, is presented. The approach is independent of controller causality constraints. In particular, it is applicable to problems, such as preview tracking and fixed-lag smoothing, where existing reduction methods fail. We demonstrate this by presenting a way to solve the open problem no. 51 from the book Open Problems in Mathematical Systems and Control Theory.

[1]  M. Safonov,et al.  Simplifying the H∞ theory via loop-shifting, matrix-pencil and descriptor concepts , 1989 .

[2]  Bassam Bamieh,et al.  A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control , 1992 .

[3]  Hannu T. Toivonen,et al.  Sampled-data control of continuous-time systems with an H∞ optimality criterion , 1992, Autom..

[4]  Gilead Tadmor,et al.  H ∞ optimal sampled-data control in continuous time systems , 1992 .

[5]  Shinji Hara,et al.  H∞ type problem for sampled-data control systems-a solution via minimum energy characterization , 1994, IEEE Trans. Autom. Control..

[6]  Yutaka Yamamoto,et al.  A function space approach to sampled data control systems and tracking problems , 1994, IEEE Trans. Autom. Control..

[7]  Pramod P. Khargonekar,et al.  Delayed signal reconstruction using sampled-data control , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[8]  Shinji Hara,et al.  Performance lower bound for a sampled-data signal reconstruction , 1999 .

[9]  Leonid Mirkin Continuous-time fixed-lag smoothing in an H/sup /spl infin// setting , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[10]  Leonid Mirkin,et al.  Computation of the frequency-response gain of sampled-data systems via projection in the lifted domain , 2002, IEEE Trans. Autom. Control..

[11]  Akira Kojima,et al.  H∞ preview tracking in output feedback setting , 2004 .